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Simplifying 2250 = -1.0x2 + 30x Reorder the terms: 2250 = 30x + -1.0x2 Solving 2250 = 30x + -1.0x2 Solving for variable 'x'. Reorder the terms: 2250 + -30x + x2 = 30x + -30x + -1.0x2 + x2 Combine like terms: 30x + -30x = 0 2250 + -30x + x2 = 0 + -1.0x2 + x2 2250 + -30x + x2 = -1.0x2 + x2 Combine like terms: -1.0x2 + x2 = 0.0 2250 + -30x + x2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-2250' to each side of the equation. 2250 + -30x + -2250 + x2 = 0.0 + -2250 Reorder the terms: 2250 + -2250 + -30x + x2 = 0.0 + -2250 Combine like terms: 2250 + -2250 = 0 0 + -30x + x2 = 0.0 + -2250 -30x + x2 = 0.0 + -2250 Combine like terms: 0.0 + -2250 = -2250 -30x + x2 = -2250 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = -2250 + 225 Reorder the terms: 225 + -30x + x2 = -2250 + 225 Combine like terms: -2250 + 225 = -2025 225 + -30x + x2 = -2025 Factor a perfect square on the left side: (x + -15)(x + -15) = -2025 Can't calculate square root of the right side. The solution to this equation could not be determined.
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